What two numbers multiply to 400 and add up to -401?

Here we answer the question: "What two numbers multiply to 400 and add up to -401?"

The answer to your question is:

-400 and -1

Below we illustrate and prove that -400 and -1 multiply to 400 and add up to -401:

-400 × -1 = 400
-400 + -1 = -401

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 401x + 400 = 0

If so, the solution to factor the quadratic equation above is:

(x - 400 ) (x - 1)

To summarize, since -400 and -1 multiply to 400 and add up -401, you know that the following is true:

x² - 401x + 400 = (x - 400 ) (x - 1)

Multiply To One Number and Add Up To Another
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